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DifferentiableMultivariateFunction (Commons Math 3.2 API)
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org.apache.commons.math3.analysis</FONT>
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Interface DifferentiableMultivariateFunction</H2>
<DL>
<DT><B>All Superinterfaces:</B> <DD><A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A></DD>
</DL>
<HR>
<B>Deprecated.</B>&nbsp;<I>as of 3.1 replaced by <A HREF="../../../../../org/apache/commons/math3/analysis/differentiation/MultivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation"><CODE>MultivariateDifferentiableFunction</CODE></A></I>
<P>
<DL>
<DT><PRE><FONT SIZE="-1"><A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</A>
</FONT>public interface <B>DifferentiableMultivariateFunction</B><DT>extends <A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A></DL>
</PRE>

<P>
Extension of <A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis"><CODE>MultivariateFunction</CODE></A> representing a differentiable
 multivariate real function.
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>2.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: DifferentiableMultivariateFunction.java 1415149 2012-11-29 13:12:55Z erans $</DD>
</DL>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateVectorFunction</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/analysis/DifferentiableMultivariateFunction.html#gradient()">gradient</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Deprecated.</B>&nbsp;Returns the gradient function.</TD>
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<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/analysis/DifferentiableMultivariateFunction.html#partialDerivative(int)">partialDerivative</A></B>(int&nbsp;k)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>Deprecated.</B>&nbsp;Returns the partial derivative of the function with respect to a point coordinate.</TD>
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<TH ALIGN="left"><B>Methods inherited from interface org.apache.commons.math3.analysis.<A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A></B></TH>
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<TD><CODE><A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html#value(double[])">value</A></CODE></TD>
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<A NAME="partialDerivative(int)"><!-- --></A><H3>
partialDerivative</H3>
<PRE>
<A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A> <B>partialDerivative</B>(int&nbsp;k)</PRE>
<DL>
<DD><B>Deprecated.</B>&nbsp;<DD>Returns the partial derivative of the function with respect to a point coordinate.
 <p>
 The partial derivative is defined with respect to point coordinate
 x<sub>k</sub>. If the partial derivatives with respect to all coordinates are
 needed, it may be more efficient to use the <A HREF="../../../../../org/apache/commons/math3/analysis/DifferentiableMultivariateFunction.html#gradient()"><CODE>gradient()</CODE></A> method which will
 compute them all at once.
 </p>
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>k</CODE> - index of the coordinate with respect to which the partial
 derivative is computed
<DT><B>Returns:</B><DD>the partial derivative function with respect to k<sup>th</sup> point coordinate</DL>
</DD>
</DL>
<HR>

<A NAME="gradient()"><!-- --></A><H3>
gradient</H3>
<PRE>
<A HREF="../../../../../org/apache/commons/math3/analysis/MultivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateVectorFunction</A> <B>gradient</B>()</PRE>
<DL>
<DD><B>Deprecated.</B>&nbsp;<DD>Returns the gradient function.
 <p>If only one partial derivative with respect to a specific coordinate is
 needed, it may be more efficient to use the <A HREF="../../../../../org/apache/commons/math3/analysis/DifferentiableMultivariateFunction.html#partialDerivative(int)"><CODE>partialDerivative(int)</CODE></A> method
 which will compute only the specified component.</p>
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the gradient function</DL>
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